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    Question

    The average of 7 data points is 60. If two additional data

    points with average 'x' are included, the overall average increases by 15%. What is the value of 'x'?
    A 172.5 Correct Answer Incorrect Answer
    B 156.1 Correct Answer Incorrect Answer
    C 250.5 Correct Answer Incorrect Answer
    D 100.5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of 7 data points = 7 × 60 = 420

    New average of all the numbers = 60 × 1.15 = 69

    So, sum of 9 numbers = 69 × 9 = 621

    So, average of two new numbers = (621 - 420) ÷ 2 = 100.5

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